4282262721 has 45 divisors (see below), whose sum is σ = 7042023219. Its totient is φ = 2591384400.

The previous prime is 4282262687. The next prime is 4282262749. The reversal of 4282262721 is 1272622824.

The square root of 4282262721 is 65439.

It is a perfect power (a square), and thus also a powerful number.

4282262721 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 2 + 627 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3400172721 + 882090000 = 58311^2 + 29700^2 .

It is not a de Polignac number, because 4282262721 - 2¹¹ = 4282260673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4282262771) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6478131 + ... + 6478791.

Almost surely, 2^4282262721 is an apocalyptic number.

4282262721 is the 65439-th square number.

4282262721 is the 32720-th centered octagonal number.

It is an amenable number.

4282262721 is a deficient number, since it is larger than the sum of its proper divisors (2759760498).

4282262721 is an frugal number, since it uses more digits than its factorization.

4282262721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 675 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The cubic root of 4282262721 is about 1623.8943448103.

Multiplying 4282262721 by its sum of digits (36), we get a square (154161457956 = 392634²).

The spelling of 4282262721 in words is "four billion, two hundred eighty-two million, two hundred sixty-two thousand, seven hundred twenty-one".